Question

If X is the midpoint of segment WZ and Y is the midpoint of XZ, find the coordinates of Y when points W and Z are W(16,8) and Z(-4,4).

A. (1,5)
B. (6,6)
C. (12, 12)
D. (4,5)

Answer 1

The coordinates of Y, the midpoint of segment XZ when X is the midpoint of segment WZ with points W(16,8) and Z(-4,4), are (1,5).

Step-by-step explanation:

To find the coordinates of point Y when it is the midpoint of segment XZ, and X is the midpoint of segment WZ, we first need to find the coordinates of X. Since X is the midpoint of WZ, its coordinates will be the average of the coordinates of W and Z. The coordinates of W are (16,8) and those of Z are (-4,4). The midpoint X has coordinates:

• X-coordinate: (16 + (-4))/2 = 12/2 = 6
• Y-coordinate: (8 + 4)/2 = 12/2 = 6

So the coordinates of X are (6,6).

Now we have to find the midpoint of segment XZ, which is Y. We already have the X coordinate, and the Z coordinate is (-4,4). Now we find the midpoint Y coordinates:

• X-coordinate: (6 + (-4))/2 = 2/2 = 1
• Y-coordinate: (6 + 4)/2 = 10/2 = 5

Therefore, the coordinates of Y are (1,5).